In three-dimensional space,what does the equa | vedclass

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(A) The given equation is $3y + 4z = 0$.This is a linear equation in three variables $x, y, z$ of the form $Ax + By + Cz + D = 0$,where $A=0, B=3, C=4

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$A$ plane containing the $x$-axis

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(A) The given equation is $3y + 4z = 0$.This is a linear equation in three variables $x, y, z$ of the form $Ax + By + Cz + D = 0$,where $A=0, B=3, C=4$,and $D=0$.Since $D=0$,the plane passes through the origin $(0, 0, 0)$.$A$ plane $Ax + By + Cz + D = 0$ contains the $x$-axis if and only if the coefficients of $y$ and $z$ are such that the equation is satisfied for any point $(x, 0, 0)$ on the $x$-axis.Substituting $(x, 0, 0)$ into $3y + 4z = 0$,we get $3(0) + 4(0) = 0$,which is $0 = 0$.This holds true for all values of $x$.Therefore,the plane contains the $x$-axis.

In three-dimensional space,what does the equation $3y + 4z = 0$ represent?

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